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12000409 is a prime number
BaseRepresentation
bin101101110001…
…110010011001
3211120200110121
4231301302121
511033003114
61105113241
7204000421
oct55616231
924520417
1012000409
1168570a3
124028821
132642245
141845481
1510c0a24
hexb71c99

12000409 has 2 divisors, whose sum is σ = 12000410. Its totient is φ = 12000408.

The previous prime is 12000407. The next prime is 12000421. The reversal of 12000409 is 90400021.

12000409 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11055625 + 944784 = 3325^2 + 972^2 .

It is an emirp because it is prime and its reverse (90400021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12000409 - 21 = 12000407 is a prime.

Together with 12000407, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12000392 and 12000401.

It is not a weakly prime, because it can be changed into another prime (12000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000204 + 6000205.

It is an arithmetic number, because the mean of its divisors is an integer number (6000205).

Almost surely, 212000409 is an apocalyptic number.

It is an amenable number.

12000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000409 is an equidigital number, since it uses as much as digits as its factorization.

12000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12000409 is about 3464.1606486998. The cubic root of 12000409 is about 228.9454495263.

The spelling of 12000409 in words is "twelve million, four hundred nine", and thus it is an aban number.